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Simplifying ln(x + 1) + ln * 4 = ln * 16 Reorder the terms: ln(1 + x) + ln * 4 = ln * 16 (1 * ln + x * ln) + ln * 4 = ln * 16 (1ln + lnx) + ln * 4 = ln * 16 Reorder the terms for easier multiplication: 1ln + lnx + 4ln = ln * 16 Reorder the terms: 1ln + 4ln + lnx = ln * 16 Combine like terms: 1ln + 4ln = 5ln 5ln + lnx = ln * 16 Reorder the terms for easier multiplication: 5ln + lnx = 16ln Solving 5ln + lnx = 16ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16ln' to each side of the equation. 5ln + -16ln + lnx = 16ln + -16ln Combine like terms: 5ln + -16ln = -11ln -11ln + lnx = 16ln + -16ln Combine like terms: 16ln + -16ln = 0 -11ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-11 + x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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